A New Version of Cubic Rank Transmuted Gumbel Distribution

Elhertaniy, Doaa Abd K.

doi:10.32894/kujss.2023.136740.1084

	A New Version of Cubic Rank Transmuted Gumbel Distribution
Kirkuk Journal of Science
Article 1, Volume 18, Issue 1, 2023, Pages 1-15 PDF (813.08 K)
Document Type: Research Paper
DOI: 10.32894/kujss.2023.136740.1084
Author
Doaa Abd K. Elhertaniy^*
Department of Mathematics, university of the Holy Quran and Taseel of Science, Sudan.
Abstract
A Cubic Rank Transmuted Gumbel distribution (CTGD) in this article is a new generalization of the Gumbel distribution based on a cubic ranking transmutation map. Examined are the cubic transmuted Gumbel model's fundamental statistical properties, such as its hazard rate function, moment-generating function, moments, characteristic function, quantile function, entropy, and order statistics. Finally, the usefulness and applicability of the CTGD using two real data sets about waiting time at a bank is described and Wheaton River flood, and the fit has been compared with Gumbel distribution (GD) and transmuted Gumbel distribution (TGD). The results show that the proposed model provides a superior fit than transmuted Gumbel distributions and Gumbel distributions.
Keywords
Moments; Gumbel Distribution; simulation study; order statistics; Entropy

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